JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

The values of

\theta

, for which the system

(\sin 3 \theta) x-y+z=0,(\cos 2 \theta) x+4 y+3 z=0

and

2 x+7 y+7 z=0

, has a non-trivial solution, are

View answer and explanation

Correct option: A

n \pi, n \pi+(-1)^n \frac{\pi}{6}

Option A (

n \pi, n \pi+(-1)^n \frac{\pi}{6}

) is correct because these are the values of θ that make the determinant of the coefficient matrix zero, leading to non-trivial solutions.

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